According to the National Telecommunication and Information Administration, 50.5% of U.S. households had Internet access in 2001. What is the probability that four randomly selected U.S. households all had Internet access in 2001?
A) 12.6%
B) 50.5%
C) 49.5%
D) 93.5%
E) 6.5%

Question

Quizplus · Accepted Answer

To find the probability of four randomly selected U.S. households all having internet access in 2001, we need to multiply the probability of one household having internet access by itself four times, since the households are being selected randomly and independently.

The probability of one household having internet access is 50.5%, or 0.505. Therefore, the probability of four households all having internet access is:
0.505 x 0.505 x 0.505 x 0.505 = 0.065, or 6.5%

Therefore, the best choice is E, with explanation as above.